Least Common Multiple of 68/13, 204/47, 797/144

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 68/13, 204/47, 797/144 quickly i.e. 162588 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 68/13, 204/47, 797/144 is 162588.

LCM(68/13, 204/47, 797/144) = 162588

LCM of 68/13, 204/47, 797/144

Enter two or more fractions separated by "commas"

Ex: 2/3, 5/7 or 3/5, 5/9, 7/3

LCM of:

Least Common Multiple of 68/13,204/47,797/144

Given numbers are 68/13,204/47,797/144

Formula to find LCM of Fractions is

LCM = LCM of Numerators/GCF of Denominators

As per the formula LCM of Fractions let’s split into two parts and find the LCM of Numerators and GCF of Denominators

In the given fractions LCM of Numerators means LCM of 68,204,797

Least Common Multiple of Numerators i.e. LCM of 68,204,797 is 162588.

GCF of Denominators means GCF of 13,47,144 as per the given fractions.

GCF of 13,47,144 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 68,204,797

LCM of Fractions 68/13,204/47,797/144 is 162588

2 68, 204, 797
2 34, 102, 797
17 17, 51, 797
1, 3, 797

∴ So the LCM of the given numbers is 2 x 2 x 17 x 1 x 3 x 797 = 162588

Least Common Multiple of 68,204,797 with GCF Formula

Least Common Multiple of 68,204,797 with GCF Formula

The formula of LCM is LCM(a1,a2,a3....,an) = ( a1 × a2 × a3 × .... × an) / GCF(a1,a2,a3....,an) x common factors(if more than 2 numbers have common factors).

We need to calculate greatest common factor of 68,204,797 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(68,204,797) = 1

common factors(in case of two or more numbers have common factors) = 68

GCF(68,204,797) x common factors =1 x 68 = 68

LCM(68,204,797) = ( 68 × 204 × 797 ) / 68

LCM(68,204,797) = 11055984 / 68

LCM(68,204,797) = 162588


Lets's calculate GCF of 13,47,144

∴ So GCF of numbers is 1 because of no common factors present between them.

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 162588/1

Therefore the LCM of Fractions 68/13,204/47,797/144 is 162588

Greatest Common Factor of 13,47,144 By Matching Biggest Common Factor Method

Greatest Common Factor of 13,47,144 By Matching Biggest Common Factor Method

Factors of 13

List of positive integer factors of 13 that divides 13 without a remainder.

1,13

Factors of 47

List of positive integer factors of 47 that divides 47 without a remainder.

1,47

Factors of 144

List of positive integer factors of 144 that divides 144 without a remainder.

1,2,3,4,6,8,9,12,16,18,24,36,48,72,144

Greatest Common Factor

We found the factors 13,47,144 . The biggest common factor number is the GCF number.
So the greatest common factor 13,47,144 is 1.


LCM of Fractions Calculation Examples

Here are some samples of LCM of Fractions calculations.

LCM of Fractions Calculation Examples

Here are some samples of LCM of Fractions calculations.

Frequently Asked Questions on Fractional LCM of 68/13, 204/47, 797/144

1. How to find LCM in Fractions?

Answer: LCM of fractions can be found using the simple formula LCM of Fractions = LCM of Numerators/GCF of Denominators.

2. What is the LCM of Fractions for 68/13, 204/47, 797/144?

Answer: LCM of Numerators as per given numbers 68/13, 204/47, 797/144 is

LCM of Numerators i.e. for 68,204,797 is 162588

GCF of denominators i.e. for 13,47,144 is 1.

Thus, LCM of Fractions is 162588.Finally, LCM of Fractions for 68/13, 204/47, 797/144 is 162588.